Back in 1963 the physicist and mathematician **Stanislaw Ulam** devised a simple ** rectangular spiral of numbers** accentuating all the occurrences of primes. Within this spiral the prime numbers tend to organise into vertical, horizontal and diagonal lines. This phenomenon has fascinated many mathematicians ever since.

Apart from the first two primes (2 and 3), every other prime number potentially occurs only as a multiple of 6 plus or minus 1 (e.g. 5,7,11,13,17,19,23,29,31, and so on).

My **UlamX6** artwork is an Ulam spiral of 484 values from 0 to 483 all represented as polka dots. The prime numbers are given a colour and numbers which are multiples of 6 are dark grey. The remaining values are light grey.

**UlamX6 structure**

Compare the patterning here with my hexagonal spiral prints,